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Finding the Third Proportional to 87,822 and 192,370.50

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Solution

The third proportional to 87,822 and 192,370.50 is: 421,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,822 : 192,370.50 = 192,370.50 : x
  2. Step 2: Convert to fraction form
    87,822/192,370.50 = 192,370.50/x
  3. Step 3: Cross multiply
    87,822x = 192,370.50 × 192,370.50
  4. Step 4: Simplify right side
    87,822x = 37,006,409,270.25
  5. Step 5: Solve for x
    x = 37,006,409,270.25/87,822
  6. Step 6: Final answer
    x = 421,379.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.